3x^2+x+3=9+4x

Simple and best practice solution for 3x^2+x+3=9+4x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^2+x+3=9+4x equation:


Simplifying
3x2 + x + 3 = 9 + 4x

Reorder the terms:
3 + x + 3x2 = 9 + 4x

Solving
3 + x + 3x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
3 + -9 + x + -4x + 3x2 = 9 + 4x + -9 + -4x

Combine like terms: 3 + -9 = -6
-6 + x + -4x + 3x2 = 9 + 4x + -9 + -4x

Combine like terms: x + -4x = -3x
-6 + -3x + 3x2 = 9 + 4x + -9 + -4x

Reorder the terms:
-6 + -3x + 3x2 = 9 + -9 + 4x + -4x

Combine like terms: 9 + -9 = 0
-6 + -3x + 3x2 = 0 + 4x + -4x
-6 + -3x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -1x + x2) = 0

Factor a trinomial.
3((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}

See similar equations:

| 3/10p=6 | | 12000*1+r^6=24000 | | 3.6=k/5.5 | | r^6=24000 | | an=4n-7 | | 3w=41/5 | | X-(-4)=2 | | a/2.8=4 | | y/3=h | | H=5wL+5wh+3hL | | -5(1-5x)+(-8x-2)=-4-8x | | 2x=7/2 | | x1/2-8x1/4+15=0 | | 6a^2x(9a^2+4bcx^2+6abx)= | | 18x+13y=12 | | r/-2=10 | | 0.8p=3.6 | | c/14=-11 | | 6/24=-2 | | X/3+2=-1 | | w/2=42 | | (3a^2-7xy)(3a^2+7xy)= | | 7-11x=4-4x-(6/3(4+2^2)+7x) | | X/2+7=10 | | 9/4-1/4g=1/2g | | (r+s)(r^2-rs+s^2)= | | 2*x=20*x-(500+10*x) | | X/2+3=0 | | x^2+8x+55=0 | | x/6=10 | | y/5-y/4=2 | | 72+(-10)=62 |

Equations solver categories